The Mega Test 01/ Mathematics

60 Questions | Total Attempts: 41

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The Mega Test 01/ Mathematics

You sleep one third of your day and life. So one third of your marks will also be rested whenever you do mistakes


Questions and Answers
  • 1. 
    1. What will be difference in population 3 years ago and 2 years ago of Devon village, whose current population is 100000 and which is increasing at a rate of 25% every year?
    • A. 

      15250

    • B. 

      13900

    • C. 

      16400

    • D. 

      12800

  • 2. 
    2. Shamik had invested same amount of sums at simple as well as compound interest. The time period of both the sums was 2 years and rate of interest too was same 4% per annum. At the end, he found a difference of Rs. 50 in both the interests received. What were the sums invested?
    • A. 

      32250

    • B. 

      31250

    • C. 

      30000

    • D. 

      35750

  • 3. 
    3. What will be the interest earned on sum of Rs. 5500 kept for 6 months at 25% interest rate compounded quarterly?
    • A. 

      825

    • B. 

      735.50

    • C. 

      855

    • D. 

      800

  • 4. 
    4. Rs. 400 is simple interest for a sum for 4 years at 10% rate of interest per annum. Find the compound interest for the same sum at same rate of interest for same time period?
    • A. 

      Rs 464

    • B. 

      Rs 464.10

    • C. 

      Rs 464.20

    • D. 

      Rs 465

  • 5. 
    5. A sum of money becomes Rs 13,380 in 3 years and Rs 20,070 in 6 years at compound interest. The initial sum is?
    • A. 

      8900

    • B. 

      8920

    • C. 

      8940

    • D. 

      9000

  • 6. 
    6. The simple interest on a sum of money is 1/9 th of the principal and the number of years is equal to the rate percent per annum. The rate of interest per annum is __
    • A. 

      31/%

    • B. 

      21/%

    • C. 

      4%

    • D. 

      5%

  • 7. 
    7. A sum doubles in 20 years at simple interest. How much is the rate per annum?
    • A. 

      4%

    • B. 

      5%

    • C. 

      10%

    • D. 

      12%

  • 8. 
    8. A man invested 1/3rd of the sum at 7%, 1/4th at 8% and the remaining at 10% for one year. If the annual interest is Rs. 408, then the investment is
    • A. 

      Rs 4800

    • B. 

      Rs 5000

    • C. 

      Rs 5600

    • D. 

      Rs 8000

  • 9. 
    9. A sum of money doubles itself at compound interest in 15 years. It will become 8 times in
    • A. 

      30 years

    • B. 

      40 years

    • C. 

      45 years

    • D. 

      60 years

  • 10. 
    10. If the amounts for a fixed principal after 3 and 2 years at a certain rate of compound interest are in the ratio  21 : 20. The rate of interest is
    • A. 

      4%

    • B. 

      5%

    • C. 

      6%

    • D. 

      10%

  • 11. 
    11. The difference in the interests received from two different banks on Rs. 1000 for 2 years is Rs. 20. Thus, the difference in their rates is
    • A. 

      0.5%

    • B. 

      1%

    • C. 

      1.5%

    • D. 

      2%

  • 12. 
    12. A tank contains 18,000 litres of water. If it decreases at the rate of 5% a day, what will be the quantity of water after 2 days
    • A. 

      15234 litres

    • B. 

      16245 litres

    • C. 

      17225 litres

    • D. 

      17590 litres

  • 13. 
    13. A merchant borrowed Rs. 2500 from the money lenders. For one loan he paid 12% per annum and for the other 14% per annum. The total interest paid for one year was Rs. 326. How much did he borrow at each rate?
    • A. 

      1000 and 1500

    • B. 

      1200 and 1300

    • C. 

      1250 and 1250

    • D. 

      1100 and 1400

  • 14. 
    14. The difference between the compound interest and the simple interest on a certain sum at 10% per annum for two years is Rs. 60. Find the sum.
    • A. 

      Rs 6000

    • B. 

      Rs 6600

    • C. 

      Rs 3000

    • D. 

      Rs 3600

  • 15. 
    15. What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly?
    • A. 

      Rs 1.02

    • B. 

      Rs 2.04

    • C. 

      Rs 3.06

    • D. 

      Rs 4.08

  • 16. 
    16. The lengths of sides of triangle are x cm,(x + 1) cm and (x + 2) cm, the value of x when triangle is right angled is
    • A. 

      3 cm

    • B. 

      4 cm

    • C. 

      5 cm 

    • D. 

      6 cm

  • 17. 
    17. Each side of square field ABCD is 50m long, the length of diagonal field is
    • A. 

      45 m

    • B. 

      23.7 m

    • C. 

      50.5 m

    • D. 

      70.7 m

  • 18. 
    18. In a triangle with sides a,b and c, if a² = b² + c², then angle facing b is
    • A. 

      Acute angle

    • B. 

      Right angle

    • C. 

      Obtuse angle

    • D. 

      Can be either acute or obtuse

  • 19. 
    19. If the sum of the squares of the legs of a right triangle are equal to 144, the hypotenuse is...
    • A. 

      10 

    • B. 

      12

    • C. 

      13

    • D. 

      18

  • 20. 
    20. In the evening, the shadow of an object is very long due to the low position of the Sun. A 20m high lamp post makes a 99m long shadow. What is the distance from the top of the pole to the top of its shadow?
    • A. 

      89 m

    • B. 

      97 m

    • C. 

      101 m

    • D. 

      119 m

  • 21. 
    21. For the triangle it is given that AE2 + EB2 = 9 and BE2 + EC2 = 16 Find AC = ?
    • A. 

      5

    • B. 

      6

    • C. 

      8

    • D. 

      10

  • 22. 
    22. Given that: SinA = a/b, then cosA = ?
    • A. 

      Option 1

    • B. 

      Option 2

    • C. 

      B/a

    • D. 

      0

  • 23. 
    23. The value of (tan1° tan2° tan3° ... tan89°) is
    • A. 

      0

    • B. 

      1

    • C. 

      √3

    • D. 

      Undefined

  • 24. 
    24. If sin A = 1/2 and cos B = 1/2, then A + B = ?
    • A. 

      00

    • B. 

      300

    • C. 

      600

    • D. 

      900

  • 25. 
    25. If a pole 6m high casts a shadow 2√3 m long on the ground, then the sun’s elevation is
    • A. 

      60

    • B. 

      45

    • C. 

      30

    • D. 

      90

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